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Restriction of eigenfunctions to sparse sets on manifolds

Restriction of eigenfunctions to sparse sets on manifolds (Videoconference) Philip Maini, University of Oxford July 31, 2020 / 31 juillet 2020 Abstract: Collective cell movement occurs throughout biology and medicine and there are many common features shared across different areas. I will review work we have carried out over the past few years on (i) systematically deriving a PDE model for tumour angiogenesis from a discrete formulation and comparing this model with the classical, phenomenological snail-trail model; (ii) agent-based models for cranial neural crest cell migration in a collaboration with experimental biologists that has revealed a number of new biological insights.